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AysviL [449]
3 years ago
15

2. Solve the following system. Show all your work. {3x - 2y + 2z = 30 {-x + 3y - 4z = -33 {2x - 4y + 3z = 42

Mathematics
1 answer:
Semmy [17]3 years ago
6 0
From the system of equations, we have 3 unknowns and 3 equations. Therefore, it can be solved. 

<span>3x - 2y + 2z = 30  (1)
</span><span>-x + 3y - 4z = -33  (2)
</span><span>2x - 4y + 3z = 42   (3)

We can write equation 2 x as a function of y and z and substitute the new equation to the other equations.
</span>x =3y - 4z + 33  (2)

3 (3y - 4z + 3)<span> - 2y + 2z = 30  (1)
</span>2 (3y - 4z + <span>3)</span> - 4y + 3z = 42   (3)

We simplify and solve the equations and we get values,

x = 4
y = -7
z = 2
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